Group GAP4(64,203)
Name: C2 x ((C4 x C2 x C2) : C2)
Maximal quotients:GAP4(32,28) GAP4(32,46) GAP4(32,48)
Real polynomial:
x^64-420*x^62+74760*x^60-7620480*x^58+503761454*x^56-23119180980*x^54+768740\
874720*x^52-19065878999580*x^50+360086734958545*x^48-5258484991806060*x^46+6\
0060289012703280*x^44-541183866588816780*x^42+3872324738385607406*x^40-22109\
922888833044440*x^38+101094030164403552360*x^36-371045064773784003540*x^34+1\
094696718323646781924*x^32-2597315453416488024780*x^30+495360747805577406564\
0*x^28-7583703550869734242920*x^26+9297451696863843381806*x^24-9095677245758\
243621460*x^22+7066032942055528188720*x^20-4330588505606938070580*x^18+20758\
28369775755174545*x^16-769376988258604485060*x^14+217150270003009805280*x^12\
-45714174828010948140*x^10+6972706965607350254*x^8-738340766026335360*x^6+50\
703956926191240*x^4-1993975834176060*x^2+33232930569601
Common denominator of the automorphisms:
194979164366786825347828555837889920150043050655232
Complex polynomial:
x^64+31*x^56+577*x^48+11842*x^40+146494*x^32+11842*x^24+577*x^16+31*x^8+1
Common denominator of the automorphisms:
7869312
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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